Download Speed of Spiderman - Introductory Physics - Solved Paper and more Exams Physics in PDF only on Docsity! PHYSICS 8A - Buehler
Summer 2006
Midterm 2
Thur., Aug 3, 2006, 6:10-7:30 PM
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- A formula sheet is provided as the last pages of the exam.
- Read through the exam first, and do the problems you are
comfortable with first. Don’t spend all your time on one
problem at the expense of not trying the others.
- Calculate all numerical answers to 3 significant figures,
provide units for all numerical answers.
- As always, you must show your work and/or explain your
reasoning.
CORRECT ANSWERS WITH NO SUPPORTING WORK
OR EXPLANATION RECEIVE NO CREDIT!
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1. (20 pts) Unlike the current movies, in the original Spiderman comic book, Spidey
couldn't shoot webs out of his body. Instead he had a wrist device that shot out a man-
made “web” which was basically a high strength string. Assume this string can
support three times Spiderman’s weight without breaking. To save Lois Lane,
Spiderman, of mass m, must swing down from the top of the building on his “web”, of
length |, from an initial angle of 60° and grab Lois, also of mass m, and swing away.
a) What is the speed of Spiderman at the bottom of the swing, just before grabbing
Lois?
b) Can Spiderman rescue Lois Lane without his “web” breaking after he grabs her?
[a= 8 pls, b= 12 pts]
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3. (20 pts) To test a syringe, the doctor holds the syringe vertically and pushes on the
plunger. You (the patient) notice that the medicine shoots 70 cm above the tip of the
needle. The syringe is 15 cm long, from plunger to tip of needle. Assume the medicine
essentially has the density of water (1000 kg/m’).
15cm
push
a) What is the pressure just above the plunger as the doctor pushes on it?
b) if in testing, the doctor pushes out 0.2 m] = 0.2 cm’ of medicine in | sec. What is
the diameter of the hole in the needle?
[a = 8 pts, b = 12 pts]
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4, (20 pts) [ Parts a) and b) are INDEPENDENT ]
a) A small wooden cube of mass, m, and side, a, is released from rest and floats upward
from the bottom of a swimming pool filled with water, p,, of depth, H. You may
assume a << H and that the drag force is constant. The cube reaches the surface with
velocity, v. What is the average drag force on the cube?
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b) You push a solid disk shaped merry-go-round of mass M and radius R with a
tangential force F. You run along the outside of the merry-go-round so thal you
always are pushing tangentially. Your maximum running speed is v,,,,-. For how
long can you push the merry-go-round?
[b = 10 pts]
5. (4 pts each) Write letter of correct answer in box.
EMPTY BOX GETS ZERO POD
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You (Mass = M) are standing on a frictionless surface. You are L
meters away from a block (Mass = m) at rest on the same surface. You
begin pulling horizontally on the block with a massless rope. After t
seconds, the block has moved a distance x,.
For the system of you and the block, which is true?
e 1S Cons. 27 Slomentum is not conserved because objects go from at rest to some
speed.
b) Kinetic Energy is not conserved because objects go from at rest to
some speed.
Carte ef mas Dt ~eyCenter of mass moves left as block gets closer to you.
meas om FP _@yThe momentum in the y-direction changes because of the impulse of the
glace S tension force.
7 ¢) More than one answer is true.
IL. You have to get a solid ball of mass M and radius R that is resting on the
Ba ground to your friend who is leaning out a second floor window at
height H. Consider the two scenarios Eo
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b) Rolling
¢) They require the same enorgy since the final height is the same.
d) Not enough information is provided
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